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bezimeni [28]
3 years ago
9

Write the equation of the line parallel to the given line p (2,-3) y=-6x+10

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

Step-by-step explanation:

y+3 = -6(x-2)

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Could someone please help? Maybe with an explanation? Thank you :)
goblinko [34]
The first one because angle one is the same degrees as angle 8, which proves why p is parallel to q
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3 years ago
What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
3 years ago
Consider 10 married couples. how many ways can 7 married couples be selected from this group
Novay_Z [31]
10c7
=10!/(7!*(10-7)!)
=120
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3 years ago
If a recipe required 1 1/2 cups of sugar how many required to make M batches of cookies
Tema [17]

what does m mean first of a

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3 years ago
What is the expression for the difference of 4 and the quotient of w and 3 is equal to 29
JulsSmile [24]

The answer is

w ÷ 3 - 4 = 29

8 0
3 years ago
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